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Simplifying -17 + 4a = -4(2 + a) + 7 -17 + 4a = (2 * -4 + a * -4) + 7 -17 + 4a = (-8 + -4a) + 7 Reorder the terms: -17 + 4a = -8 + 7 + -4a Combine like terms: -8 + 7 = -1 -17 + 4a = -1 + -4a Solving -17 + 4a = -1 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -17 + 4a + 4a = -1 + -4a + 4a Combine like terms: 4a + 4a = 8a -17 + 8a = -1 + -4a + 4a Combine like terms: -4a + 4a = 0 -17 + 8a = -1 + 0 -17 + 8a = -1 Add '17' to each side of the equation. -17 + 17 + 8a = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 8a = -1 + 17 8a = -1 + 17 Combine like terms: -1 + 17 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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